Some Australian airports have "express" immigration/security lanes. Business/First and Oneworld Emerald is eligible.

Sydney does not have it but instead has a business/first lane on departure for security/passport control (no access for status holders in Y).

Melbourne has it signed with express for departure with a seperate security lane and on arrival they have express lanes both for passport control and in the baggage claim area.

Brisbane has it for departure security and on arrival again both at passport control and baggage claim.